Recent content by MisterMan

Hi, I am having trouble understanding an example from a textbook I am reading on the Schrödinger equation. The example deals with an infinite square well in one dimension. With the following properties: V = 0\,where -a \leq x \leq a V = \infty\,|x| \geq a Where V is the potential. The...

Hi, I am having a little trouble understanding something my lecturer said about using the table of signs to check whether there exists a point of inflection when y'' = 0. I understand that in order for there to be a point of inflection at x0 say, I require to check the value of y'' at either...

Well, I can offer my opinion on the matter, but seeing as I'm not in the same position as you ( I am just starting a degree in computer science ) I'm not sure how useful/helpful it will be. If you wish to do something in the field of Computer Science, without being a "code monkey" I would have...

MAJOR EDIT: I am so so sorry to both of you for wasting your time. Me and my infinite stupidity didn't take a good enough look at the answer at the back of the book. The answer at the book did not give r = 1, but stated the upper limit for r was the line x = 1 ( Ah, how stupid of me ). This...

Homework Statement \int\int \frac{x^3}{x^2 + y^2}\,dxdy Use polar coordinates to evaluate the triangle R, with vertices (0,0), (1,0) and (1,1) Homework Equations \int\int f(r,\theta) r\,drd\theta r^2 = x^2 + y^2 x = rcos\theta y = rsin\theta The Attempt at a Solution I...

The "correct" course doesn't just contain the subjects you study. For instance, I could point you to a course in North America, but would you be willing to travel there? I would suggest having a look at what the university you graduated has to offer ( and any nearby ones for that matter )...

My mistake, I forgot the part I used to get my answer was under 1 as in, a fraction. Thanks.

EDIT: At first sight it looked like the one was separate from the 2x^2, sorry I realized my mistake when I scrolled down. It looks like a simple log integration to me. What other integration concepts have you studied in class recently?

Thanks. I'm not familiar with this sort of work ( swapping the bounds and applying a negative ) I have never done it before, and nothing was stated in the answer section or accompanying question text. So, this is what I get applying your helpful advice :smile:: x = \frac{1}{y} => dx =...

Do you happen to have an example to show me that that has a smaller number on the upper limit than the lower limit?

I'm not sure that's correct. The upper limit is b, so really that should be the upper limit, right?

That's already been done. I made the substitution x = 1/y as I stated in my initial post. What I'm confused about is the limits of the integration and the fact that I'm getting a negative answer.

I've never seen an example in which it was less than a. EDIT: Also when getting bounds from a graph you always choose b as the largest positive x value and a as the smallest x value.

That's what I thought, but can I have an upper bound of 0 and lower bound of 1? I thought b was always supposed to be greater than a: \int_a^bf(x)\,dx Also, I get the negative sign from differentiating x = 1/y, not from my mixing the bounds around.

Homework Statement \int_1^{\infty}\frac{dx}{x^2(x-1)^{1/2}} Homework Equations \int_0^1t^{x-1}(1-t)^{y-1}\,dt \int_0^\infty\dfrac{t^{x-1}}{(1+t)^{x+y}}\,dt, The Attempt at a Solution Hi all, I have another beta function problem. This time I'm unsure how to deal with the limits, as the...